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Sometimes you need to integrate only the “tail” of a
Chapter , Problem 4P(choose chapter or problem)
Problem 4P
Sometimes you need to integrate only the “tail” of a Gaussian function, from some large x up to infinity:
Evaluate this integral approximately as follows. First, change variables to s = t2, to obtain a simple exponential times something proportional to s−1/2. The integral is dominated by the region near its lower limit, so it makes sense to expand s−1/2
Questions & Answers
QUESTION:
Problem 4P
Sometimes you need to integrate only the “tail” of a Gaussian function, from some large x up to infinity:
Evaluate this integral approximately as follows. First, change variables to s = t2, to obtain a simple exponential times something proportional to s−1/2. The integral is dominated by the region near its lower limit, so it makes sense to expand s−1/2
ANSWER:
ANSWER:
Step 1:-
We know from the properties of gaussian integration,
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